Atkin-Lehner |
3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
86031f |
Isogeny class |
Conductor |
86031 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
2529569493 = 37 · 114 · 79 |
Discriminant |
Eigenvalues |
1 3- 0 -2 11- -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-567,-4460] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:26:1] [-90:205:8] |
Generators of the group modulo torsion |
j |
1890625/237 |
j-invariant |
L |
12.027684917424 |
L(r)(E,1)/r! |
Ω |
0.98634685067372 |
Real period |
R |
6.0970868967381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28677b1 86031d1 |
Quadratic twists by: -3 -11 |